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The Ratio of the Height of a Tower and the Length of Its Shadow on the Ground is `Sqrt3 : 1`. What is the Angle of Elevation of the Sun? - Mathematics

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Question

The ratio of the height of a tower and the length of its shadow on the ground is `sqrt3 : 1`. What is the angle of elevation of the sun?

Solution

Let the height of the tower be h m and the length of the shadow on the ground be l m.
The angle of elevation of the sun from the ground be θ

We have `h:1  = sqrt3:1`

Now In `triangleABC`

=`h/l`

= `sqrt3/1`

= `tan 60^@`

`=> theta = 60^@`

Hence, the angle of elevation of the sun will be 60

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2016-2017 (March) Delhi Set 1

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